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Finding the Third Proportional to 21,494 and 46,348

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Solution

The third proportional to 21,494 and 46,348 is: 99,941.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,494 : 46,348 = 46,348 : x
  2. Step 2: Convert to fraction form
    21,494/46,348 = 46,348/x
  3. Step 3: Cross multiply
    21,494x = 46,348 × 46,348
  4. Step 4: Simplify right side
    21,494x = 2,148,137,104
  5. Step 5: Solve for x
    x = 2,148,137,104/21,494
  6. Step 6: Final answer
    x = 99,941.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.